Mathematics, 31.03.2020 06:25 kierafisher05

Y^4+5x=21 second derivative

Answers: 1

Show answers

Answers

Answer from: Jxsolvez

$\displaystyle y'' = \frac{-75}{16y^7}$

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y^4 + 5x = 21$

Step 2: Find 1st Derivative

Differentiate [Basic Power Rule, Chain Rule, Derivative Properties]: $\displaystyle 4y^3y' + 5 = 0$ Isolate y' term: $\displaystyle 4y^3y' = -5$ Isolate y': $\displaystyle y' = \frac{-5}{4y^3}$

Step 3: Find 2nd Derivative

Rewrite: $\displaystyle y' = \frac{-5}{4}y^{-3}$ Differentiation [Basic Power Rule, Chain Rule, Derivative Properties]: $\displaystyle y'' = \frac{15}{4}y^{-4}y'$ Rewrite: $\displaystyle y'' = \frac{15}{4y^4}y'$ Substitute in y': $\displaystyle y'' = \frac{15}{4y^4} \bigg( \frac{-5}{4y^3} \bigg)$ Simplify: $\displaystyle y'' = \frac{-75}{16y^7}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

Answer from: Quest

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

Another question on Mathematics

Mathematics, 21.06.2019 14:30

Geometry: determine whether segment mn is parallel to segment kl. justify your answer. jm 6 mk 3 jn 8 nl 4

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

What’s 8y+48 and factor each expression completely

Answers: 2

Answer

Mathematics, 21.06.2019 21:40

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Answers: 3

Answer

Mathematics, 21.06.2019 22:30

Which set of lengths could represent the sides of a triangle? a. 3, 7, 10 b. 4, 5, 10 c. 6, 8, 14 d. 12, 6, 7

Answers: 1

Answer

You know the right answer?

Y^4+5x=21 second derivative...

Questions